Answer:
m = -2 y = 3
Step-by-step explanation:
Slope:
![m=\frac{-1-3}{2-0} =-2](https://tex.z-dn.net/?f=m%3D%5Cfrac%7B-1-3%7D%7B2-0%7D%20%3D-2)
y-intercept:
The line crosses the y-axis at (0, 3.) Therefore, the y-intercept = 3
16+15-8
Add 16+15 first
31 - 8
Next do 31-8
23
The final answer is 23
A grid with 3 rows and 52 columns is tiled with 78 identical 2x1 dominoes. How many ways can this be done such that exactly two of the dominoes are vertical?
There are 39 ways that exactly two of the dominoes are vertical.
Answer:
The probability of failure of both radios is 0.00003364.
The flight becomes much safer with two independent radios
Step-by-step explanation:
When you have two events A and P with probabilities P(A)=q and P(B)=r, if the events are independent (that is to say, if the occurrence of one event does not influence the occurrence of the other), then
where the event intersection means the probability of the occurrence of both events.
If we call P(A) the probability of a radio failure, as the occurrence of failure of a radio is independent of having another radio, then the probability of the failure of both radios is
(0.0058)*(0.0058) = 0.00003364
So, the probability that a particular flight will be threatened with the failure of both radios is 0.00003364.
Hence the flight becomes much safer with two independent radios
Answer:
Option C. The range is y≥2
Step-by-step explanation:
To solve this, we're gonna demonstrate that all options except option C. are wrong.
Option A. The vertical line confirms that the graph is a function. FALSE.
The vertical line is called the y-axis and it's used as a reference to graph functions. It does not confirm that a graph is a function.
Option B. The domain is x≥2. FALSE.
The domain of a function is the set of possible values of the independent variable "x". In this case, we can deduce from the graph that the variable "x" can take values less than 2.
Option C. The Range is x≥2. TRUE.
The range of a function is the set of all output values of a function. We can deduce from the graph that the variable "y" takes values greater than 2. For that reason, the statement is true.
Option D. This piecewise function is made out of 4 intervals. FALSE.
The function is made out of two intervals. A concave function for x≤2 and a line for x≥2.
Option E. Each interval of the piecewise function contains a graph of a linear function. FALSE.
When x≤2, the graph corresponds to a concave function. So, this interval is not linear.